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Finding the Third Proportional to 295,132 and 645,668

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Solution

The third proportional to 295,132 and 645,668 is: 1,412,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,132 : 645,668 = 645,668 : x
  2. Step 2: Convert to fraction form
    295,132/645,668 = 645,668/x
  3. Step 3: Cross multiply
    295,132x = 645,668 × 645,668
  4. Step 4: Simplify right side
    295,132x = 416,887,166,224
  5. Step 5: Solve for x
    x = 416,887,166,224/295,132
  6. Step 6: Final answer
    x = 1,412,544.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.